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eduard
3 years ago
13

FIND THE INVERSE QUESTION. PIC IS BELOW. PLEASE HELP!!

Mathematics
1 answer:
Allisa [31]3 years ago
8 0

Answer: their is no inverse

Step-by-step explanation:Opposite in effect.  

−

5

is the additive inverse of  

5

, because their sum is zero.  

1

3

is the multiplicative inverse of  

3

, because their product is  

1

.

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katrin2010 [14]
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A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
2. Find the volume for the rectangular prism.<br> 8 m<br> 4 m<br> 7 1/4 m
BlackZzzverrR [31]
V= 232 m (8x4x7.25) 232 is the volume
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3 years ago
Find the length of the third side. If necessary, round to the nearest tenth. 10 14 ​
abruzzese [7]

Answer:

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Explanation:

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Let the third side be x units.

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=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

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=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

5 0
2 years ago
Two trains leave the station at the same time, one heading west and the other east. the westbound train travels at 80 miles per
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80+70=150
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